{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T12:54:46Z","timestamp":1791896086724,"version":"4.3.4"},"reference-count":46,"publisher":"IOP Publishing","issue":"40","license":[{"start":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T00:00:00Z","timestamp":1791849600000},"content-version":"vor","delay-in-days":4,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T00:00:00Z","timestamp":1791849600000},"content-version":"tdm","delay-in-days":4,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["J. Phys.: Condens. Matter"],"published-print":{"date-parts":[[2026,10,9]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    We study a beam of nonrelativistic spin-\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                          <mml:mfrac>\n                            <mml:mn>1<\/mml:mn>\n                            <mml:mn>2<\/mml:mn>\n                          <\/mml:mfrac>\n                        <\/mml:mrow>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    charge carriers incident normally on a finite slab of helical magnetic field aligned along the beam axis. Starting from the Pauli\u2013Schr\u00f6dinger equation, we apply a unitary transformation expressed in terms of Pauli matrices to map the system to a spatially independent eigenvalue problem, from which the energy band structure is obtained analytically. Our results reveal two types of bandgap controlled by the field strength: a partial bandgap present for all field values, in which only one spin channel propagates, and a total bandgap that opens above a threshold field strength, in which both channels are evanescent. Using the eigenvectors and a transfer matrix approach, we solve the boundary value problem at the vacuum-magnetic interface and obtain spin-preserving and spin-flip transmittances and reflectances as functions of field strength and energy. The spin-filtering properties are discussed in terms of the alignment of the spin eigenstates with the effective field in spin space, with the Bloch sphere providing a geometric picture of the spin-channel selection mechanism.\n                  <\/jats:p>","DOI":"10.1088\/1361-648x\/aeae01","type":"journal-article","created":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T22:54:42Z","timestamp":1790722482000},"page":"405801","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Spin segregation of nonrelativistic charged particles by a helical magnetic field slab"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8700-2804","authenticated-orcid":true,"given":"D","family":"Mart\u00ednez","sequence":"first","affiliation":[{"name":"Campus Cuautepec"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"data-curation","vocabulary":"credit"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4464-9739","authenticated-orcid":true,"given":"J A","family":"Reyes","sequence":"additional","affiliation":[{"name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"data-curation","vocabulary":"credit"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"}]},{"given":"A","family":"Lima","sequence":"additional","affiliation":[{"name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico"}],"role":[{"vocabulary":"crossref","role":"author"},{"role":"conceptualization","vocabulary":"credit"},{"role":"data-curation","vocabulary":"credit"},{"role":"formal-analysis","vocabulary":"credit"},{"role":"investigation","vocabulary":"credit"},{"role":"writing-original-draft","vocabulary":"credit"}]}],"member":"266","published-online":{"date-parts":[[2026,10,13]]},"reference":[{"key":"cmaeae01bib1","author":"D\u2019Alessandro","year":"2008","type":"book"},{"key":"cmaeae01bib2","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1007\/s00723-009-0014-6","type":"journal-article","article-title":"High-field phenomena of qubits","volume":"36","author":"van Tol","year":"2009","journal-title":"Appl. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2026-06-13","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-09-29","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2026-10-13","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}